107442285400 has 192 divisors, whose sum is σ = 260781523200. Its totient is φ = 41135592960.

The previous prime is 107442285383. The next prime is 107442285403. The reversal of 107442285400 is 4582244701.

It is a self number, because there is not a number n which added to its sum of digits gives 107442285400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107442285403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151540246 + ... + 151540954.

It is an arithmetic number, because the mean of its divisors is an integer number (1358237100).

Almost surely, 2^107442285400 is an apocalyptic number.

107442285400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107442285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130390761600).

107442285400 is an abundant number, since it is smaller than the sum of its proper divisors (153339237800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107442285400 is a wasteful number, since it uses less digits than its factorization.

107442285400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 107442285400 in words is "one hundred seven billion, four hundred forty-two million, two hundred eighty-five thousand, four hundred".